1. 6-3 Proving a Quad is a parallelogram
Day 2 Unit 7
6-3 Proving a Quad is a parallelogram

2. Agenda
Warm-Up
Homework
6-3 Notes
Class Work

3. Check your Skills
In isosceles ABC, <A is the vertex angle. If m<A=2x+6 and m<C=5x-3, find m<B.
DEFG is a parallelogram. IF m<G=135, and m<F=2x. Find m<F
DEFG is a parallelogram. If EG= 4x+8. H is the midpoint of EG. EH= x Find EH.

4. Homework Check

5. Class Work Answers

6. 6-3 Proving a Quad is a Parallelogram.
5 Ways to Prove a Quad is a Parallelogram: 1. By Definition: If both pairs of opp. sides are ll, then the Quad is a

7. 2. Theorem 6-5: If the diagonals bisect each other, then the Quad is a

8. 3. Theorem 6-6: If one pair of opp
3. Theorem 6-6: If one pair of opp. sides are BOTH ll and , then the Quad is a

9. 4. Theorem 6-7: If both pairs of opp. sides are then the Quad is a

10. 5. Theorem 6-8: If both pairs of opp angles are then the Quad is a

11. Examples: Can you conclude that the Quadrilateral is a ? If so why?1.

15. A B
D C

16. Homework
Worksheet